Strongly Kreiss bounded operators in UMD Banach spaces
C. Deng (TU Delft - Analysis)
Emiel Lorist (TU Delft - Analysis)
Mark Veraar (TU Delft - Analysis)
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Abstract
In this paper we give growth estimates for ‖Tn‖ for n→∞ in the case T is a strongly Kreiss bounded operator on a UMD Banach space X. In several special cases we provide explicit growth rates. This includes known cases such as Hilbert and Lp-spaces, but also intermediate UMD spaces such as non-commutative Lp-spaces and variable Lebesgue spaces.